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Finding the Fourth Proportional to 648,693.90, 973,040.85 and 470,364.30

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Solution

The fourth proportional to 648,693.90, 973,040.85 and 470,364.30 is: 705,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,693.90 : 973,040.85 = 470,364.30 : x
  2. Step 2: Convert to fraction form
    648,693.90/973,040.85 = 470,364.30/x
  3. Step 3: Cross multiply
    648,693.90x = 973,040.85 × 470,364.30
  4. Step 4: Simplify right side
    648,693.90x = 457,683,678,281.66
  5. Step 5: Solve for x
    x = 457,683,678,281.66/648,693.90
  6. Step 6: Final answer
    x = 705,546.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.